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LCM of 383, 537, 906, 916

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 383, 537, 906, 916 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 383, 537, 906, 916. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 383,537,906,916

Given numbers are 383,537,906,916

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 383,537,906,916 is 28447590036.

Find LCM of 383,537,906,916 with Prime Factorization


2 383, 537, 906, 916
3 383, 537, 453, 458
383, 179, 151, 458

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 383 x 179 x 151 x 458 = 28447590036

Therefore, the lowest common multiple of 383,537,906,916 is 28447590036.

LCM Formula to Find Lowest Common Multiple of 383,537,906,916

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

383 x 537 x 906 x 916 = 170685540216

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

383 : 1, 383

537 : 1, 3, 179, 537

906 : 1, 2, 3, 6, 151, 302, 453, 906

916 : 1, 2, 4, 229, 458, 916

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 383,537,906,916, is 1.

Now, the common factors can be found like this.

383:383

537:3x 179

906:2x 3x 151

916:2x 2x 229

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 170685540216/(1x6)

LCM = 170685540216/6

LCM = 28447590036

Thus, we can understand that the LCM of 383,537,906,916 is 28447590036.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 383, 537, 906, 916

1. What is the LCM of 383, 537, 906, 916?

Answer: LCM of 383, 537, 906, 916 is 28447590036.

2. How to calculate the LCM of 383, 537, 906, 916?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 383, 537, 906, 916.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.